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Finding the Third Proportional to 4,106,923.50 and 6,384,391.50

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Solution

The third proportional to 4,106,923.50 and 6,384,391.50 is: 9,924,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106,923.50 : 6,384,391.50 = 6,384,391.50 : x
  2. Step 2: Convert to fraction form
    4,106,923.50/6,384,391.50 = 6,384,391.50/x
  3. Step 3: Cross multiply
    4,106,923.50x = 6,384,391.50 × 6,384,391.50
  4. Step 4: Simplify right side
    4,106,923.50x = 40,760,454,825,272.25
  5. Step 5: Solve for x
    x = 40,760,454,825,272.25/4,106,923.50
  6. Step 6: Final answer
    x = 9,924,814.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.